Correct Answer - Option 4 : 9 : 6 : 7

**Given:**

The ratio of investment of A, B, and C is 5 ∶ 7 ∶ 4

The timing ratio of A, B, and C is x ∶ y ∶ z

The profits distribution ratio is 45 ∶ 42 ∶ 28

**Concept used:**

Profits distributed in the ratio of investment × time

Calculation:

A B C

Investment 5 7 4

Time x y z

----------------------------------------------------------------------------

Profits Distribution 45 42 28

⇒ 5x = 45 ; 7y = 42 ; 4z = 28

⇒ x = 9 ; y = 6 ; z = 7

**∴ x ∶ y ∶ z = 9 ∶ 6 ∶ 7**